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Finding the Fourth Proportional to 135,055.20, 202,291.20 and 117,559.20

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Solution

The fourth proportional to 135,055.20, 202,291.20 and 117,559.20 is: 176,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,055.20 : 202,291.20 = 117,559.20 : x
  2. Step 2: Convert to fraction form
    135,055.20/202,291.20 = 117,559.20/x
  3. Step 3: Cross multiply
    135,055.20x = 202,291.20 × 117,559.20
  4. Step 4: Simplify right side
    135,055.20x = 23,781,191,639.04
  5. Step 5: Solve for x
    x = 23,781,191,639.04/135,055.20
  6. Step 6: Final answer
    x = 176,084.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.